The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  1  1  8  1  1  4  0  1  2  1  2  1  4  1  1  2  1  1  2  1 12  2  1  1  2  4  8
 0  2  0  2  0  8 10  2  4  6  4 14 12  4  6  6  0 10  4  6  6  8  4  6  0 10 14  4  4 10  8  8 14  0 10 12  2  6  2 12  8  2  0  8  6  2 10 12  4  6 10  2  2  0  2 10  0 10  4  2  6  2 12
 0  0  2  2 12 14  6  4  4 14  2  0  8 14 10  4  0 10 10  8 10 14  0 12 12  8  6  6 14 14  2  0  8  6  6 12  4  2 12 12  2 10  2 14 14  0  8 14  2  6  0 12  2 10 12  6  2  6  6  6  2  6  2
 0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  8  8  8  8  8  8  8  0  8  0  0  0  0  0  8  8  0  8  0  8  0  8  8
 0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  0

generates a code of length 63 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+165x^58+320x^59+297x^60+484x^61+632x^62+592x^63+529x^64+344x^65+245x^66+200x^67+108x^68+60x^69+38x^70+40x^71+23x^72+8x^73+8x^74+1x^76+1x^96

The gray image is a code over GF(2) with n=504, k=12 and d=232.
This code was found by Heurico 1.16 in 0.468 seconds.